Continuity and differentiability of multivalued superposition operators with atoms and parameters II

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SYSNO ASEP	0374006
Document Type	J - Journal Article
R&D Document Type	Journal Article
Subsidiary J	Článek ve WOS
Title	Continuity and differentiability of multivalued superposition operators with atoms and parameters II
Author(s)	Väth, Martin (MU-W)_{RID, SAI, ORCID}
Source Title	Zeitschrift für Analysis und Ihre Anwendungen - ISSN 0232-2064 Roč. 31, č. 2 (2012), s. 139-160
Number of pages	22 s.
Language	eng - English
Country	DE - Germany
Keywords	superposition operator ; Nemytskij operator ; multivalued map
Subject RIV	BA - General Mathematics
R&D Projects	IAA100190805 GA AV ČR - Academy of Sciences of the Czech Republic (AV ČR)
CEZ	AV0Z10190503 - MU-W (2005-2011)
UT WOS	000305929900002
EID SCOPUS	84859788796
DOI	10.4171/ZAA/1452
Annotation	For a given single- or multivalued function f and "atoms'' S i , let S f (λ,x) be the set of all measurable selections of the function sf(λ,s,x(s)) which are constant on each Si. It is discussed how this definition must be extended so that Sf can serve as a right-hand side for PDEs when one is looking for weak solutions in Sobolev spaces. Continuity and differentiability of the corresponding operators are studied.
Workplace	Mathematical Institute
Contact	Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757
Year of Publishing	2013

Number of the records: 1